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Tip revision: 1b25d1381245ea477075b579877977a53d2fb5ce authored by Arvid Jakobsson on 10 March 2020, 17:36:01 UTC
Prove functional spec of guestbook contract and simple lifetime prop
Prove functional spec of guestbook contract and simple lifetime prop
Tip revision: 1b25d13
location.v
Require Import Arith.
Record location := Mk_loc { line : nat; column : nat }.
Lemma location_dec (x y : location) : {x = y} + {x <> y}.
Proof.
decide equality; apply Nat.eq_dec.
Qed.
Definition location_add (loc : location) (n : nat) : location :=
{| line := loc.(line); column := n + loc.(column) |}.
Definition location_start : location :=
{| line := 1; column := 0 |}.
Definition location_incr (loc : location) := location_add loc 1.
Definition location_newline (loc : location) : location :=
{| line := S (loc.(line)); column := 0 |}.
Lemma location_add_incr_S : forall loc n,
location_add loc (S n) = location_add (location_incr loc) n.
Proof.
intros.
unfold location_incr, location_add. simpl. auto.
Qed.